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Finding the Fourth Proportional to 2,460.46, 3,396 and 1,621.24

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Solution

The fourth proportional to 2,460.46, 3,396 and 1,621.24 is: 2,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.46 : 3,396 = 1,621.24 : x
  2. Step 2: Convert to fraction form
    2,460.46/3,396 = 1,621.24/x
  3. Step 3: Cross multiply
    2,460.46x = 3,396 × 1,621.24
  4. Step 4: Simplify right side
    2,460.46x = 5,505,731.04
  5. Step 5: Solve for x
    x = 5,505,731.04/2,460.46
  6. Step 6: Final answer
    x = 2,237.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.